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Mathematics 341 - Spring 2013
Homework
Chapter 6
Exercises: 6.16, 6.19, 6.20, 6.21, 6.27, 6.30
Also: The highest salary for a major league baseball player is given, by year, in the following table:
| Year | Highest Salary |
|---|---|
| 1985 | 2130300 |
| 1986 | 2800000 |
| 1987 | 2127333 |
| 1988 | 2340000 |
| 1989 | 2766667 |
| 1990 | 3200000 |
| 1991 | 3800000 |
| 1992 | 6100000 |
| 1993 | 6200000 |
| 1994 | 6300000 |
| 1995 | 9237500 |
| 1996 | 9237500 |
| 1997 | 10000000 |
| 1998 | 14936667 |
| 1999 | 11949794 |
| 2000 | 15714286 |
| 2001 | 22000000 |
| 2002 | 22000000 |
| 2003 | 22000000 |
| 2004 | 22500000 |
| 2005 | 26000000 |
| 2006 | 21680727 |
| 2007 | 23428571 |
| 2008 | 28000000 |
| 2009 | 33000000 |
| 2010 | 33000000 |
Fit a model of the form $y = ax^b$ to this data, where $y$ is the highest salary and $x$ is the number of years since 1980. Make a scatterplot with a plot of the fitted function.
